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Some results on the reverse order law in rings with involution - MaRDI portal

Some results on the reverse order law in rings with involution (Q443935)

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scientific article; zbMATH DE number 6065227
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Some results on the reverse order law in rings with involution
scientific article; zbMATH DE number 6065227

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    Some results on the reverse order law in rings with involution (English)
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    13 August 2012
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    Let \(R\) be a unital ring with involution, let \(a^\sharp\) denote the group inverse of \(a\in R\), and let \(a^\dagger\) denote its Moore-Penrose inverse. Various characterizations of conditions such as \((ab)^\sharp = b^\dagger a^\dagger\) are obtained.
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    group inverse
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    Moore-Penrose inverse
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    rings with involution
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